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Marcinkiewicz积分在加权Hardy空间和加权Herz型Hardy空间上的弱型估计
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O174.2[理学—数学;理学—基础数学]
  • 作者机构：[1]浙江大学数学系,杭州310027
  • 相关基金：国家自然科学基金（10871173,10931001）资助
作者： 王华[1]
关键词： MARCINKIEWICZ积分, 加权Hardy空间, 加权HERZ型HARDY空间, Ap权, 原子分解, Marcinkiewicz integrals, Weighted Hardy spaces, Weighted Herz-type Hardy spaces, A, weights, Atomic decomposition.
中文摘要：

Marcinkiewicz积分本质上是一个Littlewood—Paley g-函数，它在调和分析的研究中起着很重要的作用．该文将利用加权Hardy空间和齐次加权Herz型Hardy空间的原子分解理论来证明Marcinkiewicz积分在这些空间上的加权弱型估计．

英文摘要：

The Marcinkiewicz integral is essentially a Littlewood-Paley g-function, which plays an important role in harmonic analysis. In this article, by using the atomic decomposition theory of weighted Hardy spaces and homogeneous weighted Herz-type Hardy spaces, we obtain some weighted weak type estimates for Marcinkiewicz integrals on these spaces.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382